Final answer:
The work done by a man carrying a total mass of 100kg up a 6m ladder with g=10 m/s^2 is 6000 J. The options provided do not match this correct value.
Step-by-step explanation:
The question is about the work done by a man of mass 80kg carrying a load of 20kg up a vertical ladder of length 6m. The work done can be calculated using the formula W = mgh, where W is the work done, m is the mass of the object being lifted, g is the gravitational acceleration, and h is the height the object is lifted. In this case, the total mass being lifted (man + load) is 100kg, g is 10 m/s2, and h is 6m.
The calculation would therefore be W = (80kg + 20kg)(10 m/s2)(6m) = 100kg × 10 m/s2 × 6m = 6000 J. However, the given options do not include 6000 J, which indicates that there might be an error in the options provided. If one must choose from the given options, none would be correct given the information in the question.